Write A Logarithmic Expression As A Sum Or Difference Of Logarithms - Edubirdie

University:
Harvard University
Course:
MATH 1B | Calculus, Series, and Differential Equations
Academic year:

2022
Views:

82

Pages:

1
Author:

Accinkiquicpqw

Properties of Logs In the following properties, M, N, and b are positive real numbers, b  = 1, and r is any real number The log of a Product Equals the sum of the Logs log b MN=log b M+log b N The log of a Quotient Equals the Subtraction of the Logs log b (M/N)=log b M−log b N The log of a Power Equals the Product of the Power and the Log log b M r =rlog b M write log b [(x−1)(x+2) 3 ] as a sum of logarithms. Express all powers as factors. log b [(x−1)(x+2) 3 ]=log b (x−1)+log b (x+2) 3 =log b (x−1)+3log b (x+2) write log b [ x 2 y 3 ] as a sum or difference of logs. Express all powers as factors. log b [ x 2 y 3 ]=log b (x 2 y 3 ) 1/2 = 2 1 log b (x 2 y 3 ) = 2 1 (log b x 2 +log b y 3 ) = 2 1 (2log b x+3log b y) =log b x+ 2 3 log b y

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